Atkin-Lehner |
2- 3+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872y |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3489024 |
Modular degree for the optimal curve |
Δ |
-2.6850508266704E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- 2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7515713,-7931964555] |
[a1,a2,a3,a4,a6] |
Generators |
[371076678762537087:48008195521956620938:21570851465253] |
Generators of the group modulo torsion |
j |
-7070783104000/4043763 |
j-invariant |
L |
5.0577267365919 |
L(r)(E,1)/r! |
Ω |
0.045589214606074 |
Real period |
R |
27.735325012147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124872e1 |
Quadratic twists by: -11 |